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Grade 5 Mathematics Diagnostic

NC EOG-Aligned Readiness Assessment

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Type
lesson
Grade Level
Grade 5
Duration
60 minutes
Questions
30

Description

A 30-item diagnostic for the summer program that screens all five Grade 5 NCSCOS math domains. Item counts mirror the NC End-of-Grade weight distribution (Fractions heaviest at ~40%, Base Ten ~27%, Measurement/Geometry ~21%, Operations & Algebraic Thinking ~11%) so results predict EOG performance and pinpoint reteaching needs. Multiple-choice and matching only; distractors target common misconceptions.

Learning Objectives

  • Write, evaluate, and interpret numerical expressions and analyze numerical patterns.

  • Explain the base-ten place value system and read, write, and compare decimals to thousandths.

  • Multiply and divide multi-digit whole numbers and compute with decimals.

  • Add and subtract fractions and mixed numbers with unlike denominators.

  • Multiply and divide fractions and interpret fractions as division.

  • Convert measurement units, interpret data displays, and find volume.

  • Graph points in the first quadrant and classify quadrilaterals.

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This diagnostic checks your readiness across all five Grade 5 math domains. It mirrors the emphasis of the NC End-of-Grade test, so most questions focus on fractions and decimals. Work carefully and show your thinking on scratch paper.

Two number patterns. Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 9.

| Step | Pattern A | Pattern B | |---|---|---| | 1 | 0 | 0 | | 2 | 3 | 9 | | 3 | 6 | 18 | | 4 | 9 | 27 |

Area model for 2/3 x 3/4
Number line for 4 divided by one-half
Line plot of plant heights
Rectangular prism 6 by 2 by 4
Point P on a coordinate grid

Assessment Questions

30 questions
1

Evaluate the expression: $3 \times (12 - 4) + 6 \div 2$

Multiple Choice
2

Maria buys 4 packs of pencils with 6 pencils in each pack, then gives away 5 pencils. Which expression shows how many pencils she has left?

Multiple Choice
3

Use the table shown. Each Pattern B value is how many times the matching Pattern A value?

Multiple Choice
4

In the number 4.836, what is the value of the digit 3?

Multiple Choice
5

The value of the 7 in 2,700 is how many times the value of the 7 in 270?

Multiple Choice
+ 25 more questions

Standards Alignment

NC.5.OA.2
Write, explain, and evaluate numerical expressions involving the four operations using order of operations and properties.
NC.5.OA.3
Generate and analyze two numerical patterns using two given rules; form ordered pairs.
NC.5.NBT.1
Explain patterns in the place value system from one million to thousandths (10x and 1/10 relationships).
NC.5.NBT.3
Read, write, and compare decimals to thousandths using base-ten numerals, names, and expanded form.
NC.5.NBT.5
Demonstrate fluency with multiplication of whole numbers using the standard algorithm.
NC.5.NBT.6
Find quotients with up to four-digit dividends and two-digit divisors using models and strategies.
NC.5.NBT.7
Compute and solve real-world problems with multi-digit whole numbers and decimals.
NC.5.NF.1
Add and subtract fractions, including mixed numbers, with unlike denominators; estimate with benchmarks.
NC.5.NF.3
Use fractions to model and solve division problems; interpret a fraction as division.
NC.5.NF.4
Multiply a fraction or whole number by a fraction, including reasoning about scaling.
NC.5.NF.7
Divide unit fractions by whole numbers and whole numbers by unit fractions.
NC.5.MD.1
Use multiplicative reasoning with a conversion chart to solve unit conversion problems.
NC.5.MD.2
Represent and interpret data, including line plots.
NC.5.MD.5
Relate volume to multiplication and addition; find volume of rectangular prisms.
NC.5.G.1
Graph points in the first quadrant of the coordinate plane and interpret coordinates.
NC.5.G.3
Classify quadrilaterals in a hierarchy based on their properties.

Resource Details

Subject
Mathematics
Language
EN-US
Author
Kris Edwards
License
CC-BY-4.0
PRISM ID
nc-math-grade5-diagnostic

Usage

31
Views
0
Imports

Keywords

NC EOG diagnostic grade 5 fractions decimals volume coordinate plane

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